Analysis Of Optimal Balking Strategies For Customers In The Queue With Batch Services

In the realistic queuing system, every customer have right to choose whether to join the queue based on their own information and their own interests. Study the strategy from the perspective of customers, not only can give the optimal suggestions to the customer, but also can provide theoretical reference for operators to the problem of pricing. In fact, the essence of queue is the game between the customers, it is necessary to analysis the customer behavior, so as to find out the equilibrium strategies become the primary problem of study the queue. Therefore, based on the different queuing model, the customer whether to join the queue system has become a new research focus.In recent years, many scholars have studied batch service queuing which own fixed services in vacation, batch arrival and batch service, constant or random space. However, these studies are all in a single environment, never involves the complex environment. Until 2011, Amnon Rapport studied the M/M/1 clearing queueing system in alternating environment. Based on the thinking, we promote the M/M/1 queueing system and the Geom/Geom/1 clearing queueing system to the alternating environment for the first time in this paper. Respectively, stationary systems are analyzed which are based on the theory of method of QBD processes and matrix geometric solution; Based on a natural liner reward-cost structure, we explore balking strategies and economic significance under various levels of information; Finally, we demonstrate the sensitivity of the above strategies about system parameters by numerical experiments.